Least Common Multiple of 31/15, 15/356, 517/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/15, 15/356, 517/759 quickly i.e. 240405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/15, 15/356, 517/759 is 240405.

LCM(31/15, 15/356, 517/759) = 240405

LCM of 31/15, 15/356, 517/759

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 31/15,15/356,517/759

Given numbers are 31/15,15/356,517/759

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 31,15,517

Least Common Multiple of Numerators i.e. LCM of 31,15,517 is 240405.

GCF of Denominators means GCF of 15,356,759 as per the given fractions.

GCF of 15,356,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,15,517

LCM of Fractions 31/15,15/356,517/759 is 240405

Given numbers has no common factors except 1. So, there LCM is their product i.e 240405

Least Common Multiple of 31,15,517 with GCF Formula

Least Common Multiple of 31,15,517 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,15,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,15,517) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,15,517) x common factors =1 x 1 = 1

LCM(31,15,517) = ( 31 × 15 × 517 ) / 1

LCM(31,15,517) = 240405 / 1

LCM(31,15,517) = 240405


Lets's calculate GCF of 15,356,759

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240405/1

Therefore the LCM of Fractions 31/15,15/356,517/759 is 240405

Greatest Common Factor of 15,356,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,356,759 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 15,356,759 . The biggest common factor number is the GCF number.
So the greatest common factor 15,356,759 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 31/15, 15/356, 517/759

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 31/15, 15/356, 517/759?

Answer: LCM of Numerators as per given numbers 31/15, 15/356, 517/759 is

LCM of Numerators i.e. for 31,15,517 is 240405

GCF of denominators i.e. for 15,356,759 is 1.

Thus, LCM of Fractions is 240405.Finally, LCM of Fractions for 31/15, 15/356, 517/759 is 240405.